5.05 Quiz Circles 2

Question: General Form of the Equation of a Circle

Answer: x²+y²+Ax+By+C=0

Question: The center of a circle is located at (1, 5) . The radius of the circle is 20.

What is the equation of the circle in general form?

Answer: x²+y²−2x−10y−374=0

Question: The center of a circle is located at (3,−4) . The radius of the circle is 6.

What is the equation of the circle in general form?

Answer: x²+y²−6x+8y−11=0

Question: Complete the square to find the center and radius of the circle represented by the equation.

x²+y²+8x+2y−8=0

What are the center and the radius of the circle?

Answer: Center: (-4, -1)

Radius: 5

Question: The standard form of the equation of a circle is (x−2)²+(y+5)²=16 .

What is the general form of the equation?

Answer: x²+y²−4x+10y+13=0